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Finding the Fourth Proportional to 308.23, 461.60 and 177.84

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Solution

The fourth proportional to 308.23, 461.60 and 177.84 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.23 : 461.60 = 177.84 : x
  2. Step 2: Convert to fraction form
    308.23/461.60 = 177.84/x
  3. Step 3: Cross multiply
    308.23x = 461.60 × 177.84
  4. Step 4: Simplify right side
    308.23x = 82,090.94
  5. Step 5: Solve for x
    x = 82,090.94/308.23
  6. Step 6: Final answer
    x = 266.33

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